108476810400 has 576 divisors, whose sum is σ = 412173619200. Its totient is φ = 24269414400.

The previous prime is 108476810381. The next prime is 108476810417. The reversal of 108476810400 is 4018674801.

108476810400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237366972 + ... + 237367428.

It is an arithmetic number, because the mean of its divisors is an integer number (715579200).

Almost surely, 2^108476810400 is an apocalyptic number.

108476810400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108476810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206086809600).

108476810400 is an abundant number, since it is smaller than the sum of its proper divisors (303696808800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108476810400 is a wasteful number, since it uses less digits than its factorization.

108476810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 108476810400 in words is "one hundred eight billion, four hundred seventy-six million, eight hundred ten thousand, four hundred".